x + y = a - b এবং ax - by = a² + b² হলে, (y, x) = কত?
Solution
Correct Answer: Option B
x + y = a - b....................(1)
ax - by = a2 + b2 .................(2)
(1) নং × b + (2) নং থেকে,
bx + by + ax - by = ab - b2 + a2 + b2
⇒ ax + bx = a2 + ab
⇒ x(a + b) = a(a + b)
⇒ x = a
(1) নং থেকে,
x + y = a - b
⇒ a + y = a - b
⇒ y = - b
নির্ণেয় সমাধান (y, x) = (- b, a)
ax - by = a2 + b2 .................(2)
(1) নং × b + (2) নং থেকে,
bx + by + ax - by = ab - b2 + a2 + b2
⇒ ax + bx = a2 + ab
⇒ x(a + b) = a(a + b)
⇒ x = a
(1) নং থেকে,
x + y = a - b
⇒ a + y = a - b
⇒ y = - b
নির্ণেয় সমাধান (y, x) = (- b, a)
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